Answer:
x= 30
y=12
z=33
ABC = 60
CBF =170
EBF = 60
Explanation:
EBF and ABC are vertical angles, which means they are equal
3y+24 = 2y+36
Subtract 2y from each side
3y-2y+24 = 2y-2y+36
y +24 = 36
Subtract 24 from each side
y+24-24 = 36-24
y = 12
x and 2y+36 are complementary angles, they add to 90 degrees
x+2y+36 = 90
x + 2(12) +36 = 90
x+24+36 = 90
Combine like terms
x+60 = 90
Subtract 60 from each side
x+60-60=90-60
x = 30
5z+5 and 2y+36 are supplementary angles, they add to 180 degrees
5z+5+2y+36 = 180
5z+5+2*12+36 = 180
5z+5+24+36 = 180
Combine like terms
5z + 65 =180
Subtract 65 from each side
5z+65-65 = 180-65
5z = 115
Divide by 5
5z/5 = 165/5
z=33
ABC = 3y+24
=3(12)+24 = 36+24 = 60
CBF = 5z+5 = 5(33)+5 = 165+5=170
EBF = 2y+36 = 22*12+36 = 24+36 = 60